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Hume's ForkIn philosophy Hume's fork is a distinction, due to David Hume, between two different areas of human study: - All the objects of human reason or enquiry may naturally be divided into two kinds, to wit, Relations of Ideas, and Matters of fact. Of the first kind are the sciences of Geometry, Algebra, and Arithmetic ... are discoverable by the mere operation of thought ... Matters of fact, which are the second object of human reason, are not ascertained in the same manner; nor is our evidence of their truth, however great, of a like nature with the foregoing.
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- - Treatise of Human Nature
Hume's fork is often stated in such a way that statements are divided up into two types: In modern terminology, members of the first group are known as analytic propositions and members of the latter as synthetic propositions. This terminology comes from Kant (Introduction to Critique of Pure Reason, Section IV, pp. 48). Into the first class fall statements such as "2 + 2 = 4", "all bachelors are unmarried", and truths of maths and logic. Into the second class fall statements like "the sun will rise tomorrow", "the Earth has precisely one moon", and "water freezes at 32 degrees Fahrenheit". Crucially, Hume notes that statements of the second type can never be entirely certain, due to the fallibility of our senses, the possibility of deception (see e.g. the modern brain-in-a-vat theory) and other arguments made by philosophical skeptics. It is always logically possible that any given statement about the world is false (note that statements like "either the Earth has precisely one moon, or not" are really truths of logic, and say nothing about the world). Hume famously rejected the idea of any meaningful statement that did not fall into this schema, saying: - If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, Does it contain any abstract reasoning concerning quantity or number? No. Does it contain any experimental reasoning concerning matter of fact and existence? No. Commit it then to the flames: for it can contain nothing but sophistry and illusion.
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- - Enquiry Concerning Human Understanding
This same idea has perdured in relatively contemporary schools of philosophy, such as logical positivism. Not everyone, however, has agreed with Hume's fork. Kant, for example, famously defended the idea of synthetic a priori propositions.
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